On a permutation character of Sm

M. Shahryari; M. A. Shahabi

doi:10.1080/03081089808818546

On a permutation character of S_m

M. Shahryari, M. A. Shahabi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Let G be a permutation group on in elements and K be an n-dimensional complex vector space. Then G acts naturally on ⊗^mV, namely, V₁ ⊗ ⋯ × v_m → vg^-1(1) ⊗ ⋯ ⊗ vg^-1(m) · In this expository article, we obtain the well known irreducible constituents of this representation of G by an approach that is both elegant and economical.

Original language	English
Pages (from-to)	45-52
Number of pages	8
Journal	Linear and Multilinear Algebra
Volume	44
Issue number	1
DOIs	https://doi.org/10.1080/03081089808818546
Publication status	Published - 1998
Externally published	Yes

Keywords

Kostka number
Permutation operator
Specht module
Symmetry classes of tensors
Tensor product

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1080/03081089808818546

Cite this

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KW - Specht module

KW - Symmetry classes of tensors

KW - Tensor product

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